A class of modules over a locally finite group II
- 1 May 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 19 (4) , 437-469
- https://doi.org/10.1017/s1446788700034480
Abstract
Our main purpose in this paper is to obtain more precise information about two problems which we investigated in Hartley (1971a). They are as follows: Problem 1. Let G be a countable locally finite group and π be a set of primes. Suppose that G = HK, H◃G, H∩K = 1, where H is a normal π′-subgroup of G, K is a π-group and Ck(H) = 1. If we assume that the Sylow (that is, maximal) π-subgroups of G are conjugate, what can we say about the structure of K?Keywords
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